Refer back to my original post - I don't necessarily need to work right now. So I'm using some of my extra time to pursue my Masters degree. I'm pursuing a Masters in Applied Statistics from a very large east coast university.
So I became curious at when my results in poker become significant. You always hear the number of 1000 hours or something even higher than that. But I'm not sure I have enough data for that. However, what I do have from the Poker Income app is the proportion of my sessions that are profitable. So, I can definitely find out how many sessions I need to be significant. If I can be profitable after the significant number of session then that's a good thing. It won't give me a win rate or mean that I'm a *very* profitable player, but it's a good start.
Let's take "n" as the number of significant sessions. The formula is as follows:
The z-alpha value represents a confidence level and the pi represents a proportion. Finally, E represents your desired margin of error. You get the z-alpha from a standard statistics table and you make up your own E level.
I'm going to choose a 95% confidence level, which leaves a z-alpha value of 5%. You divide that by two leaving you with a value of 0.025. I use that value and check my stat tables and come up with 1.96.
I already know that my proportion of winning sessions is 71%. I know it's early, but let's just use this as a number for now. Finally, I will use a 10% margin of error. That's insanely high, but I'll use it for the sake of simplicity. That results in the formula of:
(1.96^2(0.71)(0.29)) / 0.10^2 = 79
I'll round this number up for 80 sessions as being a significant number of sessions. I cross-check this number with what's known as the Conservative Method, whose formula is:
(1.96^2(0.5)(0.5)) / 0.10^2 = 96
Good, I'm not too far from the Conservative Method.
This gives me a goal to go after.
I want to log 80 sessions in my Poker Income app and see where I end up after that. Of course, if I go bust before then, it's not a good sign. If I'm still around, then it's a good sign. Again, I don't consider this the "end all, be all" number. But 80 sessions seems like a good "temperature check" to see where I'm at. If I can be profitable after 80 sessions then I'll be happy. At the rate I'm playing, that will be about a 3-month effort (or so) to get to 80 sessions.